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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: wB97X-D/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/STO-3G
 hartrees
Energy at 0K-223.164515
Energy at 298.15K-223.170189
HF Energy-223.164515
Nuclear repulsion energy 
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at wB97X-D/STO-3G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3518 3518 16.66      
2 A1 3359 3359 31.62      
3 A1 1805 1805 9.00      
4 A1 1536 1536 13.12      
5 A1 1426 1426 7.40      
6 A1 1339 1339 7.25      
7 A1 1077 1077 1.44      
8 A1 945 945 9.13      
9 A2 1192 1192 0.00      
10 A2 901 901 0.00      
11 A2 554 554 0.00      
12 B1 3464 3464 17.75      
13 B1 1049 1049 4.89      
14 B1 823 823 4.63      
15 B1 287 287 35.11      
16 B2 3499 3499 1.24      
17 B2 1869 1869 1.86      
18 B2 1407 1407 4.06      
19 B2 1284 1284 8.39      
20 B2 1100 1100 11.40      
21 B2 960 960 66.07      

Unscaled Zero Point Vibrational Energy (zpe) 16696.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 16696.4 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at wB97X-D/STO-3G
ABC
0.35741 0.28761 0.16463

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.250
N2 0.000 1.000 0.281
N3 0.000 -1.000 0.281
C4 0.000 0.736 -0.971
C5 0.000 -0.736 -0.971
H6 -0.916 0.000 1.875
H7 0.916 0.000 1.875
H8 0.000 1.495 -1.763
H9 0.000 -1.495 -1.763

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39221.39222.33932.33931.10871.10873.36373.3637
N21.39221.99901.27902.13952.09252.09252.10333.2251
N31.39221.99902.13951.27902.09252.09253.22512.1033
C42.33931.27902.13951.47153.07853.07851.09762.3674
C52.33932.13951.27901.47153.07853.07852.36741.0976
H61.10872.09252.09253.07853.07851.83164.03854.0385
H71.10872.09252.09253.07853.07851.83164.03854.0385
H83.36372.10333.22511.09762.36744.03854.03852.9901
H93.36373.22512.10332.36741.09764.03854.03852.9901

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 122.213 C1 N3 C5 122.213
N2 C1 N3 91.768 N2 C1 H6 113.101
N2 C1 H7 113.101 N2 C4 C5 101.903
N2 C4 H8 124.324 N3 C1 H6 113.101
N3 C1 H7 113.101 N3 C5 C4 101.903
N3 C5 H9 124.324 C4 C5 H9 133.773
C5 C4 H8 133.773 H6 C1 H7 111.385
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.005      
2 N -0.253      
3 N -0.253      
4 C 0.009      
5 C 0.009      
6 H 0.144      
7 H 0.144      
8 H 0.104      
9 H 0.104      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.218 0.218
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.960 0.000 0.000
y 0.000 -32.040 0.000
z 0.000 0.000 -21.377
Traceless
 xyz
x 0.749 0.000 0.000
y 0.000 -8.372 0.000
z 0.000 0.000 7.623
Polar
3z2-r215.247
x2-y26.080
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.595 0.000 0.000
y 0.000 2.566 0.000
z 0.000 0.000 5.175


<r2> (average value of r2) Å2
<r2> 78.189
(<r2>)1/2 8.842